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245343351404412 = 223411325126697901
BaseRepresentation
bin110111110010001101110011…
…010011101111011101111100
31012011200121001222220202010000
4313302031303103233131330
5224124201140424420122
62225445102450314300
7102451320651046242
oct6762156323573574
91164617058822100
10245343351404412
11711a0592863a28
1223625227b88990
13a6b8a17c3b791
144482978312792
151d56e249cc0ac
hexdf23734ef77c

245343351404412 has 120 divisors (see below), whose sum is σ = 649629797371632. Its totient is φ = 80734449600000.

The previous prime is 245343351404387. The next prime is 245343351404429. The reversal of 245343351404412 is 214404153343542.

It is a happy number.

245343351404412 is a `hidden beast` number, since 2 + 4 + 5 + 34 + 3 + 35 + 140 + 441 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4159339 + ... + 22538562.

Almost surely, 2245343351404412 is an apocalyptic number.

It is an amenable number.

245343351404412 is an abundant number, since it is smaller than the sum of its proper divisors (404286445967220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245343351404412 is a wasteful number, since it uses less digits than its factorization.

245343351404412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26698281 (or 26698270 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 245343351404412 in words is "two hundred forty-five trillion, three hundred forty-three billion, three hundred fifty-one million, four hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 251 324 339 452 502 678 753 1004 1017 1356 1506 2034 2259 3012 3051 4068 4518 6102 6777 9036 9153 12204 13554 18306 20331 27108 28363 36612 40662 56726 81324 85089 113452 170178 255267 340356 510534 765801 1021068 1531602 2297403 3063204 4594806 9189612 26697901 53395802 80093703 106791604 160187406 240281109 320374812 480562218 720843327 961124436 1441686654 2162529981 2883373308 3016862813 4325059962 6033725626 6701173151 8650119924 9050588439 12067451252 13402346302 18101176878 20103519453 26804692604 27151765317 36202353756 40207038906 54303530634 60310558359 80414077812 81455295951 108607061268 120621116718 162910591902 180931675077 241242233436 244365887853 325821183804 361863350154 488731775706 542795025231 723726700308 757232566063 977463551412 1085590050462 1514465132126 2171180100924 2271697698189 3028930264252 4543395396378 6815093094567 9086790792756 13630186189134 20445279283701 27260372378268 40890558567402 61335837851103 81781117134804 122671675702206 245343351404412